5r^2=2r

Solution for 5r^2=2r equation:

Simplifying
5r2 = 2r

Solving
5r2 = 2r

Solving for variable 'r'.

Reorder the terms:
-2r + 5r2 = 2r + -2r

Combine like terms: 2r + -2r = 0
-2r + 5r2 = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(-2 + 5r) = 0

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

Move all terms containing r to the left, all other terms to the right.

Simplifying
r = 0
Subproblem 2
Set the factor '(-2 + 5r)' equal to zero and attempt to solve:

Simplifying
-2 + 5r = 0

Solving
-2 + 5r = 0

Move all terms containing r to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + 5r = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5r = 0 + 2
5r = 0 + 2

Combine like terms: 0 + 2 = 2
5r = 2

Divide each side by '5'.
r = 0.4

Simplifying
r = 0.4
Solution
r = {0, 0.4}